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Finding the Fourth Proportional to 13,510.08, 20,272.80 and 5,307.84

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Solution

The fourth proportional to 13,510.08, 20,272.80 and 5,307.84 is: 7,964.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.08 : 20,272.80 = 5,307.84 : x
  2. Step 2: Convert to fraction form
    13,510.08/20,272.80 = 5,307.84/x
  3. Step 3: Cross multiply
    13,510.08x = 20,272.80 × 5,307.84
  4. Step 4: Simplify right side
    13,510.08x = 107,604,778.75
  5. Step 5: Solve for x
    x = 107,604,778.75/13,510.08
  6. Step 6: Final answer
    x = 7,964.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.